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Simplifying -6 + -4(3 + -6n) = 10(1 + 2n) -6 + (3 * -4 + -6n * -4) = 10(1 + 2n) -6 + (-12 + 24n) = 10(1 + 2n) Combine like terms: -6 + -12 = -18 -18 + 24n = 10(1 + 2n) -18 + 24n = (1 * 10 + 2n * 10) -18 + 24n = (10 + 20n) Solving -18 + 24n = 10 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -18 + 24n + -20n = 10 + 20n + -20n Combine like terms: 24n + -20n = 4n -18 + 4n = 10 + 20n + -20n Combine like terms: 20n + -20n = 0 -18 + 4n = 10 + 0 -18 + 4n = 10 Add '18' to each side of the equation. -18 + 18 + 4n = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4n = 10 + 18 4n = 10 + 18 Combine like terms: 10 + 18 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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